Details

Time bar (total: 9.8s)

sample343.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
4.0ms256×pre80true

simplify66.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500110
done500110

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.3b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l* prod-exp add-cbrt-cube
12×pow1
11×times-frac
8×associate-*r*
6×pow-exp add-log-exp
5×cbrt-unprod
4×div-exp pow-prod-down unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv +-commutative flip3-+ associate-*l/ sum-log flip-+ div-inv
Counts
4 → 87
Calls
4 calls:
57.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
6.0ms
(pow (* -2.0 (log u1)) 0.5)
17.0ms
(* (* 2.0 PI) u2)
24.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.5s

Counts
4 → 12
Calls
4 calls:
463.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
264.0ms
(pow (* -2.0 (log u1)) 0.5)
39.0ms
(* (* 2.0 PI) u2)
693.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify58.0ms

Counts
99 → 99
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0507728
12155656
25001656
done5001656

prune325.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (* (/ 1.0 6.0) (pow (* 2.0 (log (/ 1 u1))) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b
(pow (* 2.0 (log (/ 1 u1))) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.3b
(* (/ 1.0 6.0) (pow (* 2.0 (log (/ 1 u1))) 0.5))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l* prod-exp add-cbrt-cube
12×pow1
11×times-frac
8×associate-*r*
6×pow-exp add-log-exp
5×cbrt-unprod
4×div-exp pow-prod-down unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv +-commutative flip3-+ associate-*l/ sum-log flip-+ div-inv
Counts
4 → 87
Calls
4 calls:
54.0ms
(+ (* (* (/ 1.0 6.0) (pow (* 2.0 (log (/ 1 u1))) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
6.0ms
(pow (* 2.0 (log (/ 1 u1))) 0.5)
16.0ms
(* (* 2.0 PI) u2)
25.0ms
(* (/ 1.0 6.0) (pow (* 2.0 (log (/ 1 u1))) 0.5))

series1.5s

Counts
4 → 12
Calls
4 calls:
477.0ms
(+ (* (* (/ 1.0 6.0) (pow (* 2.0 (log (/ 1 u1))) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
272.0ms
(pow (* 2.0 (log (/ 1 u1))) 0.5)
32.0ms
(* (* 2.0 PI) u2)
690.0ms
(* (/ 1.0 6.0) (pow (* 2.0 (log (/ 1 u1))) 0.5))

simplify58.0ms

Counts
99 → 99
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0511814
12158733
25002733
done5002733

prune314.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (* 1.0 (/ (pow (* 2.0 (log (/ 1 u1))) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b
(pow (* 2.0 (log (/ 1 u1))) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.3b
(/ (pow (* 2.0 (log (/ 1 u1))) 0.5) 6.0)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×times-frac
12×pow1
11×add-cbrt-cube
6×add-log-exp
5×unpow-prod-down prod-exp associate-/l* sqr-pow
4×div-exp pow-prod-down pow-exp
3×pow-unpow associate-*r* associate-/r* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv +-commutative frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv
Counts
4 → 84
Calls
4 calls:
47.0ms
(+ (* (* 1.0 (/ (pow (* 2.0 (log (/ 1 u1))) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
6.0ms
(pow (* 2.0 (log (/ 1 u1))) 0.5)
20.0ms
(* (* 2.0 PI) u2)
8.0ms
(/ (pow (* 2.0 (log (/ 1 u1))) 0.5) 6.0)

series1.5s

Counts
4 → 12
Calls
4 calls:
469.0ms
(+ (* (* 1.0 (/ (pow (* 2.0 (log (/ 1 u1))) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
262.0ms
(pow (* 2.0 (log (/ 1 u1))) 0.5)
32.0ms
(* (* 2.0 PI) u2)
697.0ms
(/ (pow (* 2.0 (log (/ 1 u1))) 0.5) 6.0)

simplify52.0ms

Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0442801
11841740
25002740
done5002740

prune309.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* 2.0 (log (/ 1 u1))) 0.5)
0.2b
(* (* 2.0 PI) u2)
0.2b
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* 2.0 (log (/ 1 u1))) 0.5)))
0.3b
(* (sqrt (/ 1.0 6.0)) (pow (* 2.0 (log (/ 1 u1))) 0.5))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-sqr-sqrt
33×associate-*l*
30×sqrt-prod
23×add-cube-cbrt *-un-lft-identity
20×times-frac
19×prod-exp
16×add-cbrt-cube
14×pow1
9×associate-*r*
7×cbrt-unprod
6×pow-exp unswap-sqr
5×sqrt-div pow-prod-down sqr-pow
4×associate-*l/ add-log-exp
3×pow-to-exp pow-unpow *-commutative
2×unpow-prod-down pow-pow div-inv
1×frac-times associate-*r/
Counts
4 → 112
Calls
4 calls:
6.0ms
(pow (* 2.0 (log (/ 1 u1))) 0.5)
16.0ms
(* (* 2.0 PI) u2)
59.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* 2.0 (log (/ 1 u1))) 0.5)))
24.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* 2.0 (log (/ 1 u1))) 0.5))

series1.8s

Counts
4 → 12
Calls
4 calls:
273.0ms
(pow (* 2.0 (log (/ 1 u1))) 0.5)
32.0ms
(* (* 2.0 PI) u2)
745.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* 2.0 (log (/ 1 u1))) 0.5)))
728.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* 2.0 (log (/ 1 u1))) 0.5))

simplify51.0ms

Counts
124 → 124
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
04511031
11792925
25002921
done5002921

prune422.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02711
12711
done2711

end0.0ms

sample955.0ms

Algorithm
intervals
Results
643.0ms8000×body80valid
112.0ms8000×pre80true